edit this statistic or download as text // json
Identifier
Values
=>
Cc0010;cc-rep
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[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>24 [.,[[[[[.,.],.],[[.,.],.]],.],.]]=>24 [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>29 [.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>29 [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>23 [.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>29 [.,[[[[[[.,.],.],.],[.,.]],.],.]]=>29 [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>36 [.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>36 [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>29 [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>36 [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>36 [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>29 [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>29 [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>29 [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>29 [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>36 [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>36 [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>29 [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>36 [.,[[[[[[[.,.],.],.],.],.],.],.]]=>36 [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>29 [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>29 [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>23 [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>29 [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>29 [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>23 [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>23 [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>23 [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>23 [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>29 [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>29 [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>23 [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>29 [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>29 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>23 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>23 [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>18 [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>23 [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>23 [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>19 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>19 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>19 [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>19 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>23 [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>23 [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>18 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>23 [[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>23 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>29 [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>29 [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>23 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>29 [[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>29 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>23 [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>23 [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>23 [[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>23 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>29 [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>29 [[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>23 [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>29 [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>29 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>23 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>23 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>18 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>23 [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>23 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>18 [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>18 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>18 [[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>18 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>23 [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>23 [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>18 [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>23 [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>23 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>19 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>19 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>15 [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>19 [[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>19 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>19 [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>19 [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>15 [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>19 [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>19 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>19 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>19 [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>19 [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>19 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>15 [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>15 [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>19 [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>19 [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>19 [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>19 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>23 [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>23 [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>18 [[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>23 [[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>23 [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>18 [[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>18 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>18 [[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>18 [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>23 [[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>23 [[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>18 [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>23 [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>23 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>29 [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>29 [[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>23 [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>29 [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>29 [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>23 [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>23 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>23 [[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>23 [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>29 [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>29 [[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>23 [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>29 [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>29 [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>23 [[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>23 [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>18 [[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>23 [[.,.],[[[.,.],[[[.,.],.],.]],.]]=>23 [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>19 [[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>19 [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>19 [[.,.],[[[[.,.],.],[[.,.],.]],.]]=>19 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>23 [[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>23 [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>18 [[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>23 [[.,.],[[[[[.,.],.],.],[.,.]],.]]=>23 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>29 [[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>29 [[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>23 [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>29 [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>29 [[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>23 [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>23 [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>23 [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>23 [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>29 [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>29 [[.,.],[[[[[.,.],[.,.]],.],.],.]]=>23 [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>29 [[.,.],[[[[[[.,.],.],.],.],.],.]]=>29 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>24 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>24 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>19 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>24 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>24 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>19 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>19 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>19 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>19 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>24 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>24 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>19 [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>24 [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>24 [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>19
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Description
The sum of the heights of the vertices of a binary tree.
The height of a vertex is the number of edges to a leaf, see [3].
References
[1] wikipedia:Tree (data_structure)
[2] The depth or height of a binary tree. St000050
[3] The sum of the depths of the vertices (or total internal path length) of a binary tree. St000398
[4] The external path length of a binary tree. St000399
[5] The path length of an ordered tree. St000400
Code
def height(T):
    if not T:
        return 0
    else:
        return 1 + max(height(T[0]),height(T[1]))

def statistic(T):
    if not T:
        return 0
    else:
        return height(T) + statistic(T[0]) + statistic(T[1])
Created
Aug 09, 2016 at 11:27 by Christian Stump
Updated
Aug 10, 2016 at 11:38 by Christian Stump